{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,17]],"date-time":"2025-06-17T23:40:07Z","timestamp":1750203607873,"version":"3.41.0"},"reference-count":43,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2017,4,19]],"date-time":"2017-04-19T00:00:00Z","timestamp":1492560000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"name":"the Fundamental Research Funds for the Central Universities","award":["HIT.NSRIF.2016107"],"award-info":[{"award-number":["HIT.NSRIF.2016107"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Circuits Syst Signal Process"],"published-print":{"date-parts":[[2018,1]]},"DOI":"10.1007\/s00034-017-0561-2","type":"journal-article","created":{"date-parts":[[2017,4,19]],"date-time":"2017-04-19T09:34:30Z","timestamp":1492594470000},"page":"19-48","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Structure-Preserving-Based Model-Order Reduction of Parameterized Interconnect Systems"],"prefix":"10.1007","volume":"37","author":[{"given":"Xinsheng","family":"Wang","sequence":"first","affiliation":[]},{"given":"Mingyan","family":"Yu","sequence":"additional","affiliation":[]},{"given":"Chenxu","family":"Wang","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2017,4,19]]},"reference":[{"doi-asserted-by":"crossref","unstructured":"E. Acar, S. Nassif, Y. liu, L.T. Pileggi, Time-domain simulation of variational interconnect models, in Proceedings of the International Symposium Quality Electronic Dessign (2002) pp. 419\u2013424","key":"561_CR1","DOI":"10.1109\/ISQED.2002.996782"},{"issue":"4","key":"561_CR2","doi-asserted-by":"crossref","first-page":"1012","DOI":"10.1109\/TADVP.2010.2050203","volume":"33","author":"M Ahmadloo","year":"2010","unstructured":"M. Ahmadloo, A. Dounavis, Parameterized model order reduction of electromagnetic systems using multiorder arnoldi. IEEE Trans. Adv. Packag. 33(4), 1012\u20131020 (2010)","journal-title":"IEEE Trans. Adv. Packag."},{"issue":"8","key":"561_CR3","doi-asserted-by":"crossref","first-page":"411","DOI":"10.1524\/auto.2009.0787","volume":"57","author":"U Baur","year":"2009","unstructured":"U. Baur, P. Benner, Model reduction for parametric systems using balanced truncation and interpolation. Automatisierungstechnik 57(8), 411\u2013420 (2009)","journal-title":"Automatisierungstechnik"},{"issue":"7","key":"561_CR4","first-page":"1","volume":"8","author":"U Baur","year":"2010","unstructured":"U. Baur, P. Benner, A. Greiner, J.G. Korvink, J. Lienemann, C. Moosmann, Parameter preserving model order reduction for MEMS applications. Math. Comput. Model. Dyn. Syst. 8(7), 1\u201320 (2010)","journal-title":"Math. Comput. Model. Dyn. Syst."},{"key":"561_CR5","first-page":"27","volume":"151","author":"JP Berrut","year":"2005","unstructured":"J.P. Berrut, R. Baltensperger, H.D. Mittelmann, Recent developments in barycentric rational interpolation. Trends Appl. Constr. Approx. 151, 27\u201351 (2005)","journal-title":"Trends Appl. Constr. Approx."},{"issue":"4","key":"561_CR6","doi-asserted-by":"crossref","first-page":"593","DOI":"10.1109\/TCAPT.2005.859742","volume":"28","author":"L Codecasa","year":"2005","unstructured":"L. Codecasa, A novel approach for generating boundary condition independent compact dynamic thermal networks of packages. IEEE Trans. Compon. Packag. Technol. 28(4), 593\u2013604 (2005)","journal-title":"IEEE Trans. Compon. Packag. Technol."},{"issue":"5","key":"561_CR7","doi-asserted-by":"crossref","first-page":"678","DOI":"10.1109\/TCAD.2004.826583","volume":"23","author":"L Daniel","year":"2004","unstructured":"L. Daniel, O.C. Siong, L.S. Chay, K.H. Lee, J. Whilte, A multiparameter moment-matching model-reduction approach for generation geometrically parameterized interconnect approach for generating geometrically parameterized interconnect performance models. IEEE Trans. Comput. Aided Des. Integr. Circuits Syst. 23(5), 678\u2013693 (2004)","journal-title":"IEEE Trans. Comput. Aided Des. Integr. Circuits Syst."},{"issue":"1","key":"561_CR8","doi-asserted-by":"crossref","first-page":"655","DOI":"10.1002\/pamm.200510304","volume":"5","author":"VHO Farle","year":"2005","unstructured":"V.H.O. Farle, R.D. Edlinger, An Arnoldi type algorithm for parametric finite element modeling of microwave components. PAMM 5(1), 655\u2013656 (2005)","journal-title":"PAMM"},{"issue":"4","key":"561_CR9","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1524\/auto.2006.54.4.161","volume":"54","author":"PIO Farle","year":"2006","unstructured":"P.I.O. Farle, V. Hill, R.D. Edlinger, Ordnungsreduktion linearer zeitinvarianter finite element modelle mit multivariater poly nomierller parametrierung. Automatiseirungstechnik 54(4), 161\u2013169 (2006)","journal-title":"Automatiseirungstechnik"},{"issue":"3","key":"561_CR10","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1016\/j.matcom.2004.12.002","volume":"68","author":"L Feng","year":"2005","unstructured":"L. Feng, Parameter independent model order reduction. Math. Comput. Simul. 68(3), 221\u2013234 (2005)","journal-title":"Math. Comput. Simul."},{"unstructured":"Z. Feng, P. Li, Performance-oriented statistical parameter reduction of parameterized systems via reduced rank regression, in Proceedings of the IEEE\/ACM International Conference on Compututer-Aided Design (2006), pp. 868\u2013875","key":"561_CR11"},{"issue":"12","key":"561_CR12","doi-asserted-by":"crossref","first-page":"1838","DOI":"10.1109\/TCAD.2005.852660","volume":"24","author":"LH Feng","year":"2005","unstructured":"L.H. Feng, E.B. Rudnyi, J.G. Korvink, Preserving the film coefficient as a parameter in the compact thermal model for fast electrothermal simulation. IEEE Trans. Comput. Aided Des. Integr. Circuits Syst. 24(12), 1838\u20131847 (2005)","journal-title":"IEEE Trans. Comput. Aided Des. Integr. Circuits Syst."},{"issue":"4","key":"561_CR13","doi-asserted-by":"crossref","first-page":"974","DOI":"10.1109\/TEMC.2010.2051949","volume":"52","author":"F Ferranti","year":"2010","unstructured":"F. Ferranti, G. Antonini, T. Dhaene, L. Knockaert, Guaranteed passive parameterized model order reduction of the partial element equivalent circuit method. IEEE Trans. Electromagn. Compat. 52(4), 974\u2013984 (2010)","journal-title":"IEEE Trans. Electromagn. Compat."},{"issue":"3","key":"561_CR14","doi-asserted-by":"crossref","first-page":"399","DOI":"10.1109\/TCPMT.2010.2101912","volume":"1","author":"F Ferranti","year":"2011","unstructured":"F. Ferranti, G. Antonini, T. Dhaene, L. Knockaert, A. Ruehli, Physics-based passivity-preserving parameterized model order reduction for PEEC circuit analysis. IEEE Trans. Compon. Packag. Manuf. Technol. 1(3), 399\u2013409 (2011)","journal-title":"IEEE Trans. Compon. Packag. Manuf. Technol."},{"issue":"3","key":"561_CR15","doi-asserted-by":"crossref","first-page":"431","DOI":"10.1109\/TMTT.2011.2181858","volume":"60","author":"F Ferranti","year":"2012","unstructured":"F. Ferranti, M. Nakhla, G. Antonini, Interpolation-based parameterized model order reduction of delayed systems. IEEE Trans. Microw. Theory Tech. 60(3), 431\u2013440 (2012)","journal-title":"IEEE Trans. Microw. Theory Tech."},{"doi-asserted-by":"crossref","unstructured":"R. Freund, SPRIM: structure-preserving reduced-order interconnect macromodeling, in IEEE\/ACM International Conference on Computer-Aided Design (Los Alanmos, 2004), pp. 80\u201387","key":"561_CR16","DOI":"10.1109\/ICCAD.2004.1382547"},{"doi-asserted-by":"crossref","unstructured":"R.W. Freund, Passive reduced order models for interconnect simulation and their computation via Krylov-subspace algorithms, In Proceedings of the 36th ACM\/IEEE Design Automation Conference (New York, 1999), pp. 195\u2013200","key":"561_CR17","DOI":"10.1145\/309847.309913"},{"issue":"1\u20132","key":"561_CR18","doi-asserted-by":"crossref","first-page":"395","DOI":"10.1016\/S0377-0427(00)00396-4","volume":"123","author":"RW Freund","year":"2000","unstructured":"R.W. Freund, Krylov-subspace methods for reduced order modeling in circuits simulation. J. Comput. Appl. Math. 123(1\u20132), 395\u2013421 (2000)","journal-title":"J. Comput. Appl. Math."},{"issue":"12","key":"561_CR19","doi-asserted-by":"crossref","first-page":"2347","DOI":"10.1109\/TMTT.2003.820169","volume":"51","author":"PK Gunupudi","year":"2003","unstructured":"P.K. Gunupudi, R. Khazaka et al., Passive parameterized time-domain macromodels for high-speed transmission line networks. IEEE Trans. Microw. Theory Tech. 51(12), 2347\u20132354 (2003)","journal-title":"IEEE Trans. Microw. Theory Tech."},{"issue":"2","key":"561_CR20","doi-asserted-by":"crossref","first-page":"174","DOI":"10.1109\/TADVP.2002.803271","volume":"25","author":"P Gunupudi","year":"2002","unstructured":"P. Gunupudi, R. Khazaka, M. Nakhla, Analysis of transmission line circuits using multidimensional model reduction techniques. IEEE Trans. Adv. Packag. 25(2), 174\u2013180 (2002)","journal-title":"IEEE Trans. Adv. Packag."},{"issue":"4","key":"561_CR21","doi-asserted-by":"crossref","first-page":"879","DOI":"10.1109\/TCSI.2005.859772","volume":"53","author":"P Heydari","year":"2006","unstructured":"P. Heydari, M. Pedram, Model-order reduction using variational balanced truncation with spectral shaping. IEEE Trans. Circuits Syst. I Regul. Pap. 53(4), 879\u2013891 (2006)","journal-title":"IEEE Trans. Circuits Syst. I Regul. Pap."},{"unstructured":"A. Klimke, Sparse Grid Interpolation Toolbox-User\u2019s Guide, in IANS report, University of Stuttgart (2007)","key":"561_CR22"},{"issue":"9","key":"561_CR23","doi-asserted-by":"crossref","first-page":"1571","DOI":"10.1109\/TCAD.2008.927768","volume":"27","author":"YT Li","year":"2008","unstructured":"Y.T. Li, Z. Bai, Y. Su, X. Zeng, Model order reduction of parameterized interconnect network via a two-directional arnoldi process. IEEE Trans. Comput. Aided Des. Integr. Circuits Syst. 27(9), 1571\u20131582 (2008)","journal-title":"IEEE Trans. Comput. Aided Des. Integr. Circuits Syst."},{"unstructured":"X. Li, P. Li, L.T. Pileggi, Parameterized interconnect order reduction with explicit-and-implicit multi-parameter moment matching for inter\/introdie variations, in Proceedings of the IEEE\/ACM International Conference on Computer-Aided Design (2005), pp. 806\u2013812","key":"561_CR24"},{"unstructured":"P. Li, F. Liu, X. Li, L. and etc, Modeling interconnect variability using efficient parametric model order reduction, in Proceedings of the IEEE\/ACM Design, Automation and Test in Europe (2005), pp. 958\u2013963","key":"561_CR25"},{"key":"561_CR26","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1016\/j.matcom.2004.12.002","volume":"68","author":"F Lihong","year":"2005","unstructured":"F. Lihong, Parameter independent model order reduction. Math. Comput. Simul. 68, 221\u2013234 (2005)","journal-title":"Math. Comput. Simul."},{"unstructured":"Y. Liu, L.T. Pileggi, A.J. Strojwas, Model order-reduction of RCL interconnect including variational analysis, in Proceedings of the 36th IEEE\/ACM Design Automation Conference (1999), pp. 201\u2013206","key":"561_CR27"},{"doi-asserted-by":"crossref","unstructured":"N. Mi, B. Yan, S. X.-D. Tan, J. Fan, H. Yu, General block structure-preserving reduced order modeling of linear dynamic circuits, in Proceedings of the 8th International Symposium on Quality Electronic Design (2007)","key":"561_CR28","DOI":"10.1109\/ISQED.2007.85"},{"unstructured":"C. Moosmann. ParaMOR: Model Order Reduction for Parameterized MEMS Application, Ph.D. Dissertation, University of Freiburg\u2014IMTEK, (2007)","key":"561_CR29"},{"unstructured":"C. Moosmann, E.B. Rudnyi, J.G. Korvink, A. Greiner, Parameter preserving model order reduction of a flow meter, in Proceedings of Nanotech 2005, vol. 3 ( Anaherm 2005), pp. 684\u2013687","key":"561_CR30"},{"key":"561_CR31","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4614-0131-5","volume-title":"Variation Tolerant On-Chip Interconnects","author":"EE Nigussie","year":"2012","unstructured":"E.E. Nigussie, Variation Tolerant On-Chip Interconnects (Springer, New York, 2012)"},{"doi-asserted-by":"crossref","unstructured":"A. Odabasioglu, M, Celik, L.T. Pileggi, PRIMA: passive reduced-order interconnect macromodeling algorithm, in International Conference on Computer-Aided Design (Los Alamitos, 1997), pp. 58\u201365","key":"561_CR32","DOI":"10.1109\/ICCAD.1997.643366"},{"key":"561_CR33","volume-title":"Design for Manufacturability and Statistical Design: A Constructive Approach","author":"M Orshansky","year":"2008","unstructured":"M. Orshansky, S.R. Nassif, D. Boning, Design for Manufacturability and Statistical Design: A Constructive Approach (Springer, New York, 2008)"},{"doi-asserted-by":"crossref","unstructured":"J.R. Phillips, Variational interconnect analysis via PMTBR, in Proceedings of the IEEE\/ACM International Conference on Compututer-Aided Design (2004), pp. 872\u2013879","key":"561_CR34","DOI":"10.1109\/ICCAD.2004.1382697"},{"issue":"1","key":"561_CR35","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1109\/TCAD.2004.839472","volume":"24","author":"JR Phillips","year":"2005","unstructured":"J.R. Phillips, L.M. Silveira, Poor man\u2019s TBR: a simple modle reduction scheme. IEEE Trans. Comput. Aided Des. Integr. Circuits Ssyst. 24(1), 43\u201355 (2005)","journal-title":"IEEE Trans. Comput. Aided Des. Integr. Circuits Ssyst."},{"issue":"4","key":"561_CR36","doi-asserted-by":"crossref","first-page":"352","DOI":"10.1109\/43.45867","volume":"9","author":"LT Pillage","year":"1990","unstructured":"L.T. Pillage, R.A. Rohrer, Asymptotic waveform evaluation for timing analysis. IEEE Trans. comput. Aided Des. 9(4), 352\u2013366 (1990)","journal-title":"IEEE Trans. comput. Aided Des."},{"issue":"1","key":"561_CR37","doi-asserted-by":"crossref","first-page":"2","DOI":"10.1109\/TADVP.2008.2010249","volume":"32","author":"M Sampath","year":"2009","unstructured":"M. Sampath, A. Dounavis, R. Khazaka, Parameterized model order reduction techniques for FEM based full wave analysis. IEEE Trans. Adv. Packag. 32(1), 2\u201312 (2009)","journal-title":"IEEE Trans. Adv. Packag."},{"issue":"3","key":"561_CR38","doi-asserted-by":"crossref","first-page":"456","DOI":"10.1109\/TCAD.2008.915544","volume":"27","author":"KC Sou","year":"2008","unstructured":"K.C. Sou, A. Megretski, L. Daniel, A quasi-convex optimization approach to parameterized model order reduction. IEEE Trans. Comput. Aided Des. Integr. Circuits Syst. 27(3), 456\u2013469 (2008)","journal-title":"IEEE Trans. Comput. Aided Des. Integr. Circuits Syst."},{"issue":"1","key":"561_CR39","doi-asserted-by":"crossref","first-page":"18","DOI":"10.1109\/TEMC.2006.888179","volume":"49","author":"SG Talocia","year":"2007","unstructured":"S.G. Talocia, S. Acquadro, M. Bandinu, F.G. Canavero, I. Kelander, M. Rouvala, A parameterization scheme for lossy transmission line macromodels with application to high speed interconnects in mobile devices. IEEE Trans. Electromagn. Compat. 49(1), 18\u201324 (2007)","journal-title":"IEEE Trans. Electromagn. Compat."},{"unstructured":"J. Wang, P. Ghanta, S. Vrudhula, Stochastic analysis of interconnect performance in the presence of process variations, in Proceding of the IEEE\/ACM International Conference on Comutuer-Aided Design (2004), pp. 880\u2013886","key":"561_CR40"},{"unstructured":"J.M. Wang, O.A. Hafiz, J. Li, A linear fractional transform based model for interconnect parametric uncertainty, in Proceedings of the 41st IEEE\/ACM Dessign, Auttomation Conference (2004), pp. 375\u2013380","key":"561_CR41"},{"key":"561_CR42","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1016\/S0893-9659(99)00063-4","volume":"12","author":"DS Weile","year":"1999","unstructured":"D.S. Weile, E. Michielssen, E. Grimme, K. Gallivan, A method for generating rational interpolant reduced order models of two-parameter linear systems. Appl. Math. Lett. 12, 93\u2013102 (1999)","journal-title":"Appl. Math. Lett."},{"key":"561_CR43","volume-title":"Lumped and Distributed Passive Networks","author":"MR Wohlers","year":"1969","unstructured":"M.R. Wohlers, Lumped and Distributed Passive Networks (Academic Press, New York, 1969)"}],"container-title":["Circuits, Systems, and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00034-017-0561-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-017-0561-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-017-0561-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,17]],"date-time":"2025-06-17T23:04:13Z","timestamp":1750201453000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00034-017-0561-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,4,19]]},"references-count":43,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2018,1]]}},"alternative-id":["561"],"URL":"https:\/\/doi.org\/10.1007\/s00034-017-0561-2","relation":{},"ISSN":["0278-081X","1531-5878"],"issn-type":[{"type":"print","value":"0278-081X"},{"type":"electronic","value":"1531-5878"}],"subject":[],"published":{"date-parts":[[2017,4,19]]}}}